21. Suppose that the utility function for nonnegative amounts of money for some risk-averse agent equals the square root of the dollar amount. For example, U($49) = 7 and U($100) = 10. Given the choice between two lotteries A = [1.0, $36] and B = [p, S0 ; 1 - p, $100], what probability p would make this agent indifferent between these two lotteries? (а) 0.2 (b) 0.4 (c) 0.6 (d) 0.8

Microeconomic Theory
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Chapter7: Uncertainty
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21. Suppose that the utility function for nonnegative amounts of money for some risk-averse agent equals
the square root of the dollar amount. For example, U($49) = 7 and U($100) = 10. Given the choice between
two lotteries A = [1.0, $36] and B = [p, S0 ; 1 - p, $100], what probability p would make this agent indifferent
between these two lotteries?
(а) 0.2
(b) 0.4
(c) 0.6
(d) 0.8
Transcribed Image Text:21. Suppose that the utility function for nonnegative amounts of money for some risk-averse agent equals the square root of the dollar amount. For example, U($49) = 7 and U($100) = 10. Given the choice between two lotteries A = [1.0, $36] and B = [p, S0 ; 1 - p, $100], what probability p would make this agent indifferent between these two lotteries? (а) 0.2 (b) 0.4 (c) 0.6 (d) 0.8
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